Using npm:
$ npm install --save react-animate.css
$ npm install --save animate.css
You need to install and require animate.css yourself.
This way you may have a small css build, importing just the animations you need.
Or you can create your own animations, use another library... This is a very small package, you should take a look at source.
import Animate from 'react-animate.css';
import 'animate.css/animate.css'; // you need to require the css somewhere
<Animate
animationEnter="bounceIn"
animationLeave="bounceOut"
durationEnter={1000}
durationLeave={1000}
component="ul" >
{this.state.items.map(item => <li key={item.id}>{item.name}</li>)}
</Animate>
// use a unique ID, not index